# ACT Ch13

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Geometry

23

360

360

### Are the diagrams drawn to scale or not to scale?

Usually, the diagrams are drawn to scale.

1.4

1.7

### If there is no diagram with a problem, the best thing to do is..?

Draw it yourself.

### How long does a line extend?

A line extends forever in either direction.

### Collinear

When all points are on the same line.

### Line Segment

A line with two endpoints

### Endpoints

The points that stop a line

180

Also 180

### Supplementary Angles

Angles that add up to 180º

### Vertical Angles

Angles opposite from each other and equal to each other

### Perpendicular Lines

When two lines meet so that 90º angles are formed

### Parallel Lines

When two lines in the same plane are drawn so that they extend into infinity without ever meeting

### Triangle

A three-sided figure whose inside angles always add up to 180º

### Isosceles Triangle

A triangle with two equal sides and two equal angles

### Equilateral Triangle

A triangle with three equal sides and three equal angles.

60º

### Right Triangle

One inside angle is equal to 90º

### Hypotenuse

The longest side of the right triangle (opposite the 90º angle)

### Isosceles Right Triangle

The sides and angles are always in a particular proportion. The angles are 45º, 45º, 90º and the hypotenuse includes a square root of 2

### 30-60-90 Right Triangle

Always has the same proportion. The hypotenuse is twice as large and the medium side is equal to the short side times the square root of 3

### Area of a Triangle

(base x height)/2

### When are triangles similar?

When their angles have the same degree measures; the sides are proportional

### Third Side Rule

States that it is impossible for the third side of a triangle to be longer than the total of the other two sides

A four - sided figure with four angles that add up to 360º

### For any circle problem, four things should be known, which are..?

The radius, the diameter, the area, and the circumference.

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